If radius of first orbit of hydrogen atom is 5.29 × 10-11 m, the radius of fourth orbit will be

Question

If radius of first orbit of hydrogen atom is 5.29 × 10-11 m, the radius of fourth orbit will be (A) 8.46 mathringA (B) 10.23 mathringA (C) 9.22 mathringA (D) 9.48 mathringA

Tardigrade Admin · Accepted Answer

5.3 × 10-11 or 0.53 mathringA Radius of n text th orbit =0.53 × n2 Radius of 4 text th orbit =0.53 × 16 mathringA =8.46 mathringA

Q. If radius of first orbit of hydrogen atom is $5.29 \times 1 0^{- 11} m$ , the radius of fourth orbit will be

$8.46 \overset{˚}{A}$

$10.23 \overset{˚}{A}$

$9.22 \overset{˚}{A}$

$9.48 \overset{˚}{A}$

$5.3 \times 1 0^{- 11}$
or $0.53 \overset{˚}{A}$
Radius of $n^{th}$ orbit $= 0.53 \times n^{2}$
Radius of $4^{th}$ orbit $= 0.53 \times 16 \overset{˚}{A}$
$= 8.46 \overset{˚}{A}$

Q. If radius of first orbit of hydrogen atom is 5.29×10−11m, the radius of fourth orbit will be

8.46A˚

10.23A˚

9.22A˚

9.48A˚